Can you double-check my answers. show work if I got it wrong. Thanks

Find the following probabilities. It may help to sketch the pdf for Standard Normal Distribution and shade in the area that corresponds to the probability of interest.

1) Z ~ Norm(0, 1), find Pr(Z 1.78) 0.9625 2) Z ~ Norm(0, 1), find Pr(Z > 1.96) 0.025 3) Z ~ Norm(0, 1), find Pr(-2.34 Z < 1.45) 0.91689 4) Z ~ Norm(0, 1), find Pr(Z < -0.67) 0.2514 5) Z ~ Norm(0, 1), find Pr(Z = 2.3) 0 6) Z ~ Norm(0, 1), find Pr(Z -2.98) 0.9986

Do the same for the following below. Note however that they are no longer Standard Normal Distributions.

7) X ~ Norm(266, 162), find Pr(X < 200) 0.3409 8) X ~ Norm(-2, 52), find Pr(-4 < X < -3) 0.008 9) X ~ Norm(-2, 52), find Pr(X = -3) 0 10) X ~ Norm(64.4, 2.42), find Pr(|X| > 70) 0.0104